847968480 has 192 divisors, whose sum is σ = 3124396800. Its totient is φ = 214202880.

The previous prime is 847968469. The next prime is 847968493. The reversal of 847968480 is 84869748.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76915 + ... + 87245.

It is an arithmetic number, because the mean of its divisors is an integer number (16272900).

Almost surely, 2^847968480 is an apocalyptic number.

847968480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 847968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562198400).

847968480 is an abundant number, since it is smaller than the sum of its proper divisors (2276428320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

847968480 is a wasteful number, since it uses less digits than its factorization.

847968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10374 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 847968480 is about 29119.8983514709. The cubic root of 847968480 is about 946.5129707059.

The spelling of 847968480 in words is "eight hundred forty-seven million, nine hundred sixty-eight thousand, four hundred eighty".